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Finding the Fourth Proportional to 23,692.96, 32,690.44 and 14,492.20

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Solution

The fourth proportional to 23,692.96, 32,690.44 and 14,492.20 is: 19,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.96 : 32,690.44 = 14,492.20 : x
  2. Step 2: Convert to fraction form
    23,692.96/32,690.44 = 14,492.20/x
  3. Step 3: Cross multiply
    23,692.96x = 32,690.44 × 14,492.20
  4. Step 4: Simplify right side
    23,692.96x = 473,756,394.57
  5. Step 5: Solve for x
    x = 473,756,394.57/23,692.96
  6. Step 6: Final answer
    x = 19,995.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.